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Let b,dgt0 . The locus of all points P(r...

Let `b,dgt0` . The locus of all points `P(r,theta)` for which the line OP (where O is the origin ) cuts the line `rsin theta =b` in Q such that PQ =d is

A

`(r-d) sin theta=b`

B

`(r+-d) sin theta=b`

C

`(r-d)cos theta =b`

D

`(r+-d) cos theta =b`

Text Solution

Verified by Experts

The correct Answer is:
B

equation of OP
`y=x tan theta`
point Q is `(b cot theta, b)`
`:.` points P is `y=b+-d sin theta`
`r sin theta=b +- sin theta`
`(rpmd) sin theta =b`
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